A compactness result for BV functions in metric spaces

Published 20 Mar 2018 in math.FA and math.MG | (1803.07545v2)

Abstract: We prove a compactness result for bounded sequences $(u_j)_j$ of functions with bounded variation in metric spaces $(X,d_j)$ where the space $X$ is fixed but the metric may vary with $j$. We also provide an application to Carnot-Carath\'eodory spaces.

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